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Consider a binary operation ∗ on N defined as a ∗ b = a3 + b3. Choose the correct answer.

(A) Is ∗ both associative and commutative?
(B) Is ∗ commutative but not associative?
(C) Is ∗ associative but not commutative?
(D) Is ∗ neither commutative nor associative?

Justify your choice.


My ans. is [A] * both associative and commutative
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(A) ∗ is both associative and commutative.
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